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Finding the Fourth Proportional to 571.24, 789.72 and 566.04

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Solution

The fourth proportional to 571.24, 789.72 and 566.04 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 789.72 = 566.04 : x
  2. Step 2: Convert to fraction form
    571.24/789.72 = 566.04/x
  3. Step 3: Cross multiply
    571.24x = 789.72 × 566.04
  4. Step 4: Simplify right side
    571.24x = 447,013.11
  5. Step 5: Solve for x
    x = 447,013.11/571.24
  6. Step 6: Final answer
    x = 782.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.